10000001001100 has 72 divisors (see below), whose sum is σ = 23692089109248. Its totient is φ = 3633390196800.

The previous prime is 10000001001049. The next prime is 10000001001139. The reversal of 10000001001100 is 110010000001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 10000001001100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2371344 + ... + 5061943.

It is an arithmetic number, because the mean of its divisors is an integer number (329056793184).

Almost surely, 2^{10000001001100} is an apocalyptic number.

10000001001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000001001100 is an abundant number, since it is smaller than the sum of its proper divisors (13692088108148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10000001001100 is a wasteful number, since it uses less digits than its factorization.

10000001001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7434535 (or 7434528 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10000001001100 its reverse (110010000001), we get a palindrome (10110011001101).

The spelling of 10000001001100 in words is "ten trillion, one million, one thousand, one hundred".